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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 11, Pages 1865–1879 (Mi zvmmf221)  
This article is cited in 10 scientific papers (total in 10 papers)

Optimal control problems with terminal functionals represented as the difference of two convex functions

A. S. Strekalovskii

Institute of System Dynamics and Control Theory, Siberian Division, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia
Full-text PDF (1521 kB) Citations (10)
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Abstract: Two control problems for a state-linear control system are considered: the minimization of a terminal functional representable as the difference of two convex functions (d.c. functions) and the minimization of a convex terminal functional with a d.c. terminal inequality contraint. Necessary and sufficient global optimality conditions are proved for problems in which the Pontryagin and Bellman maximum principles do not distinguish between locally and globally optimal processes. The efficiency of the approach is illustrated by examples.
Key words: optimal control, locally and globally optimal processes, optimality principles and conditions.
Received: 29.03.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 11, Pages 1788–1801
DOI: https://doi.org/10.1134/S0965542507110061
Bibliographic databases:
Document Type: Article
UDC: 519.626.2+517.977.5
Language: Russian
Citation: A. S. Strekalovskii, “Optimal control problems with terminal functionals represented as the difference of two convex functions”, Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007), 1865–1879; Comput. Math. Math. Phys., 47:11 (2007), 1788–1801
Citation in format AMSBIB
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\by A.~S.~Strekalovskii
\paper Optimal control problems with terminal functionals represented as the difference of two convex functions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 11
\pages 1865--1879
\mathnet{http://mi.mathnet.ru/zvmmf221}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2405031}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 11
\pages 1788--1801
\crossref{https://doi.org/10.1134/S0965542507110061}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36448981437}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:72
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